Factorize: \(-x^2y^2 + x^4 - 2y^4\)

x 4 − x 2 y 2 − 2 y 4 = x 4 − 2 x 2 y 2 + x 2 y 2 − 2 y 4 = x 2 ( x 2 − 2 y 2 ) + y 2 ( x 2 − 2 y 2 ) = ( x 2 − 2 y 2 ) ( x 2 + y 2 )

Answered by madankapoor10 | 2024-06-10

-x^2y^2(1-x^2+2y^2)
hope this helps

Answered by deathstrike001 | 2024-06-10

The expression − x 2 y 2 + x 4 − 2 y 4 can be factored to ( x 2 − 2 y 2 ) ( x 2 + y 2 ) . First, we rearranged and grouped terms, then factored by grouping. The final result shows the factors clearly.
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Answered by madankapoor10 | 2024-12-23